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C2×#22549809 #30641963

order16256
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productC2×#22549809

Splittings

SylowC127 ⋊ C2×#398

Subgroups

subgroupG/H
centerC24C22×D127
commutator, cosocleC23×C127C24
FrattiniC23C23×D127
FittingC22×C4⋊C4×C127C2
socle, prime radicalC24×C127C23
hypercenterC22×C4⋊C4D127
hypocenterC127C2×#398
LCSG ▷ C23×C127 ▷ C127
UCSC1 ◁ C24 ◁ C22×C4⋊C4

692 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2564 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 7743);